Question

Which of the following is not simple harmonic function ? (a) y = a sin 2ωt + b cos^2 ωt (b) y = a sin ωt + b cos 2ωt

Answer 1

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Answer 2

y = a sin ωt + b cos 2ωt is not simple harmonic function.

When you observe the option b, the functions that are divided into two parts will have different frequencies and the addition of it would result in the formation of periodic motion Lissajous figures.

However, these would not be forming a simple harmonic function.